Percious bought one goldfish for $32 and one star fish for $12. She spends the rest of her money on guppies. She starts with $80 and each guppy costs$6. Write an inequality for the number of guppies she can purchase

I hope this helped you

Answer:

a = 3

Step-by-step explanation:

24 x 2ªx 3

8= 2ª

a= 3

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{24 = 2a \times 3}\\\mathsf{\rightarrow 2a \times 3 = 24}\\\mathsf{\rightarrow 2(3)(a) = 24}\\\mathsf{\rightarrow 6(a) = 24}\\\mathsf{\rightarrow 6a = 24}\\\\\text{DIVIDE 6 to BOTH SIDES}\\\\\mathsf{\rightarrow\dfrac{6a}{6} = \dfrac{24}{6}}\\\\\text{SIMPLIFY it}\\\\\mathsf{\rightarrow a = \dfrac{24}{6}}\\\\\mathsf{\rightarrow a = 4}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{a = 4}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

I think so the answer is a)y=x³+2x²-1

1. The completion of the mathematical expression to represent the change in Estella's account balance due to guitar lessons after 2 years is 52 - 35x, where x is the number of years.

2. After two years, the account balance will be $-18, without reflecting interest.

A mathematical expression is a combination of variables, constants, numbers, and mathematical operands (addition, subtraction, division, and multiplication).

A mathematical expression may not convey any meaning since it sounds like a phrase in the English language that does not make complete sense.

The unit rate (cost per lesson) for guitar lessons = $35

Estella's account balance = $52

Let the number of years = x

Lesson period, x = 2 years

Mathematical Expression: 52 - 35x

Solution: 52 = 35(2)

= $-18

Thus, after 2 years of guitar lessons, Estella will be indebted to the bank by $18 if she does not deposit an additional amount in her account.

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Expression: 52 - 35

The required quadratic equaiton is h(x) = (x + 1)² -3. Option D is correct.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
From the data select 1 pair of values,
x = 0, when h(0) = -2

Now, put this pair in each quadratic equation, since the equation that satisfies this fair will be the required quadratic equation.

A,
h(x) = (x − 1)² + 1
h(0) = (0 − 1)² + 1
h(0) =  2

B.
h(x) = (x − 1)² + 3
h(0) = 4

C.
h(x) = (x + 1)² - 1
h(0) = 0

D.
h(x) = (x + 1)² - 3

h(0) = 1 - 3 = -2
h(0) = -2

Thus, the required quadratic equaiton is h(x) = (x + 1)² -3. Option D is correct.

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The expected value of playing a single game is given as follows:

-$0.499.

As the expected value is negative, it is not a wise investment to play the NC pick 3 in the long run.

The expected value of a discrete distribution is calculated as the sum of each outcome multiplied by it's respective probability.

You have to pick three digits in correct order. Considering that for each digit there are 10 possible outcomes, the probability of winning is given as follows:

1/10 x (1/10) x (1/10) = 1/1000 = 0.001.

The probability of losing is given as follows:

1 - 1/1000 = 1000/1000 - 1/1000 = 999/1000 = 0.999.

Considering that you get $500 winning, while you lose $1 losing, the distribution is given as follows:

Hence the expected value of the distribution is given as follows:

E(X) = 500 x 0.001 - 1 x 0.999

E(X) = -$0.499.

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11x = 99z

x = 9z

3y = 99z

y = 33z

1x + 1y + 1z = 9z + 33z + 1z = 43z

The linear speed of the Earth is 6.66×10⁴mi/hr

Speed is a measure of how fast an object is moving

The formula for linear speed is v=rw

where  the radius, , is the distance from the Earth to the Sun which is 9.29×10⁷miles and the angular speed is w=1 rev/365 days

Solving for the speed

=9.29×10⁷×1 rev/365 days

=9.29×10⁷×(1 rev/365 .2π rad/1 rev. 1 day/24 hr)

=9.29×10⁷×(2π rad/365.24hr)

v=66633.32mi/hr

Hence, the linear speed of the Earth is 6.66×10⁴mi/hr

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Answer:

$519

Step-by-step explanation:

We know that the one day sale price of the ski set is $324 and the markdowns are specified.

A markdown means a reduction in price, so to find the original selling price we need to add the amount of markdown to the sale price.

The markdown of the ski set is $75 + $120 = $195

So, to find the original selling price we need to add the markdown amount to the sale price:

$324 + $195 = $519

Therefore, the original selling price of the ski set was $519

Answer:

25

Step-by-step explanation:

5/9 x 45  Cross cancel the 9 and 45. 9 goes into 9 once and 9 goes into 45 5 times

5/1 x 5/1 = 25/1 = 25

Answer:13/5

Step-by-step explanation:The answer would be 13/5 because that is the trigonometric ratio.

Answer:

Step-by-step explanation:

Solving by factoring is a strategy used to solve quadratic equations, which are polynomials of the form ax^2 + bx + c = 0. The goal of this strategy is to factor the quadratic expression on one side of the equation and set each factor equal to zero to find the solutions of the equation.For example, consider the equation x^2 - 6x + 8 = 0. To solve this equation by factoring, we can first find the factors of the constant term (8) which are 1 and 8. And the factors of the leading coefficient (1) and the constant term (8) which are (1,-8) and (1,8). We can then use the distributive property to rewrite the equation as (x - 4)(x - 2) = 0.Once we have factored the quadratic expression, we set each factor equal to zero and solve for x. In this case, x - 4 = 0 and x - 2 = 0. Solving for x, we get x = 4 and x = 2. These are the solutions to the equation.We can check our solutions by plugging them back into the original equation to see if they make the equation true.x = 4 and x = 2 are the solutions of the equation x^2 - 6x + 8 = 0.It's important to note that factoring can also be used to solve equations that are not in the standard form, like x^2 - 6x + 8 = 12 by subtracting 12 from both sides of the equation, and then factor the left side.In summary, factoring is a strategy used to solve quadratic equations by factoring the quadratic expression on one side of the equation, setting each factor equal to zero, and solving for x. The solutions of the equation are the values of x that make the equation true.

Using the rate of the exponential growth to calculate the exponential function, the number of subscribers after 10 years is 3446

An exponential function is a function in which the variable appears in an exponent. It is of the form f(x) = aˣ, where a is a constant and x is the independent variable. The graph of an exponential function is a curve that increases or decreases at an increasing rate.

To solve this problem, we have to find the rate and then calculate the number subscribers after 10 years.

In a given exponential function;

A = P(1 + x)ⁿ

Since this is an exponential growth, we can calculate the rate as;

1 year = 250 subscriber

2 years = 3 * 250

rate = (250 / 750) * 100

rate = 30%

We can substitute the values into the formula and solve

A = 250(1 + 0.3)¹⁰

A = 3446.46

They are expected to have 3446 subscribers after 10 years

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a) In a week in which Landon made $1,500 in sales, his weekly earnings would be $625.

b) In a week in which Landon made x in sales, his weekly earnings would be $400 + 0.15x.

The weekly earnings are the sum of Landon's guaranteed or base salary per week and the sales commission he earns.

The sales commission is based on the sales Landon achieves per week and the commission rate of 15%.

The above situation implies that a percentage of the sales is paid out to Landon as a commission.  Generally, sales commissions are paid to encourage increased sales.

Guaranteed salary per week = $400

Sales commission on total weekly sales = 15%

Total weekly sales = $1,500

Landon's total earnings for the week = $625 [$400 + $1,500(0.15)]

Landon's total earnings in a week he made xx dollars in sales = $400 + 0.15x

Thus, we can conclude that Landon gets 15 cents (15%) from each dollar in sales in addition to his weekly base salary of $400.

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The estimation number of death from measles occured in developing countries in 2019 is 1.9 million deaths.

To estimate the number of deaths from measles in developing countries, we can use the following calculation:

Deaths = (Total number of cases in developing countries) × (Fatality rate in developing countries)

According to the World Health Organization, 75% of measles cases occurred in developing countries in 2019. Assuming a total of 10 million cases worldwide, 7.5 million cases would have occurred in developing countries.

The fatality rate in developing countries is approximately 25%, so:

Deaths = (7.5 million cases) × (0.25) = 1.875 million deaths.

Deaths = 1.875 million deaths ≈ 1.9 million deaths

So, 1.9 million deaths from measles are likely to have resulted in developing countries in 2019.

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Answer:

In an absolute value graph, the slope of one side of the graph is the opposite of the other side.

For example, if the slope of one side of an absolute value function is positive, then the other side of the equation has a slope of negative.

The range of values of x for the given expression (x - 12)(x + 5)/(x - 3)³≤0 is ,

( -∞ , -15] and [3, 12]

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given expression,

(x - 12)(x + 5)/(x - 3)³ ≤0

by using wavy curve method it can be state that,

function hold negative value,

1. when x is less than -15

⇒  x ≤15

2.  when x is in between

⇒   3≤ x ≤12

Hence, range of x is ( -∞ , -15] and [3, 12]

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Answer:

A way for one of the toddler triplets to end up with their coat is if the other two toddler triplets each get one another coat.

making it a 33% chance of one of the toddler triplets to end up with their own coat.

100% divided by 3 = 0.33

Answer:

Step-by-step explanation:

The ratio of boys to girls in the squad must be no greater than 3:2. This means that for every 3 boys, there must be at least 2 girls.

Since the total number of players in the squad is 14, we can set up the following equation:

3x + 2y = 14

Where x is the number of boys in the squad, and y is the number of girls in the squad.

To find the maximum number of boys that can be selected for the squad, we need to find the highest possible value of x while still satisfying the equation.

We know that x, the number of boys, is a whole number, so we can start testing values of x by subtracting 2 from both sides and then dividing by 3

x = (14 - 2y)/3

If we start testing values for y and substituting it back into the equation, we'll find that the maximum value for y is 6, and the corresponding value for x is 5.

35 + 26 = 15 = 14

Therefore, the maximum number of boys that can be selected for the squad is 5.

Answer:

B. Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)

Step-by-step explanation:

This statement is true because the probability of Player 2, which is five eighths, is greater than the probability of Player 1, which is four sevenths. It is important to note that in order to compare the probabilities, it is necessary to convert the fractions to a common denominator. In this case, the common denominator is 56, then we can say that P(Player 2) = 35/56 and P(Player 1) = 28/56. Since 35/56 > 28/56, it is more likely that Player 2 will hit the ball than player 1.

Answer: B: Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)

Step-by-step explanation:

Answer:

D' (9, 10)

E'( 12,-1)

F'(7,8)

Step-by-step explanation:

The coordinates of triangle DEF will be D(9,10), E(12,-1), and F(7,8) after the translation.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The given triangle DEF has vertices D (3,5), E(6,-6), and F(1,3).

Triangle DEF has translated 5 units up and 6 units right.

This means that the x-coordinates of the vertices D, E, and F will each be increased by 6, and the y-coordinates of the vertices will each be increased by 5.

After the translation, the coordinates of vertex D will be (3 + 6, 5 + 5) = (9, 10)

After the translation, the coordinates of vertex E will be (6 + 6, -6 + 5) = (12, -1)

After the translation, the coordinates of vertex F will be (1 + 6, 3 + 5) = (7, 8)

So after the translation, the coordinates of triangle DEF will be D(9,10), E(12,-1), F(7,8)

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Answer:

43%

Step-by-step explanation:

28 questions - 16 wrongs = 12 correct

(12/28) × 100= 42.857.....%

To the nearest percent=43%

The area of triangle MNB, MNC and ABC 6 in.², 60 in.², and 30 in.² respectively

The ratio of the base of the triangles ΔMNB and ΔCBM, that shares a common vertex, is the ratio of their areas.

M is the midpoint of side AB in ΔABC

NB:CB = 1:5

Area of ΔCAM = 30 in.²

The area of ΔMNB and ΔABC

Area = 1/2 * base * height

Height of ΔCAM = Height of ΔCBM = Altitude of point C above line AB

MA = MB by definition of midpoint

MA is the base of ΔCAM, and MB is the base of ΔCBM

Therefore; Area of ΔCAM = 1/2 AM * Height of ΔCAM

= 1/2 * AM* height of ΔCAM

Which gives;

Area of ΔCAM = Area of ΔCBM = 30 in.²

Area of ΔABC = Area of ΔCAM + Area of ΔCBM = 30 + 30 = 60

Area of ΔABC = 60 in.²

Taking CB as the base of ΔCBM, we have;

Height of ΔMNB = Height of ΔCBM from line CB

Base length of ΔCBM = 5 × Base length of ΔMNB

Therefore; Area of ΔMNB = 30/5 = 6 in²

Area of ΔCBM = 30 in.² = 5 × The area of ΔMNB

Conclusively, the Area of ΔMNB = 6 in.²

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Correct question:

In a triangle ABC, M is the mid point of the side AB and N is the mid point of the side AC.  Find the lenght of the segment MN if AB =18, BC = 10 and AC = 20

The people whose scores on the bar chart do not match the data given in the table are Georgia and Eleanor.

In Mathematics, a bar chart (bar graph) simply refers to a type of chart that is used for the graphical representation of a population (data set), especially through the use of rectangular bars and vertical columns.

Based on the given bar chart which represents people's test scores in English and French, we can reasonably infer and logically deduce that table showed that Eleanor scored 12 in her English test while it was recorded as 14 on the bar chart.

Similarly, the table showed that Georgia scored 18 in her English test while it was recorded as 15 on the bar chart.

In conclusion, both Georgia and Eleanor were not correctly recorded on the bar chart.

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The algebraic rule for the reflection of FG is solved to be

Transformation is a term used in mathematics to refer to the movements made by objects.

Reflection is one of the movements in transformation that involve creation of mirror image

Transformation rule for reflection over x-axis at origin (0, 0)) is

(x, y) → (x, -y)

Transformation rule for reflection over line y-axis at origin (0, 0)) is

(x, y) → (-x, y)

The reflection of line FG is done across the x axis hence the transformation rule to be used is (x, y) → (x, -y)

This is equal to the last option

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Let x be the first day's ride.The second ride will then be equal to 1.5 times.The third day's journey will cost 1.5 (1.5x)The ride on the fourth day will cost 1.5*1.5. (1.5x)

The length of the line that connects two places serves as the unit of measurement for distance.

By subtracting the different coordinates from the pair if the two points are on the same horizontal or vertical line, the distance can be calculated.

Let x be the first day's ride.

The second ride will then be equal to 1.5 times.

The third day's journey will cost 1.5 (1.5x)

The ride on the fourth day will cost 1.5*1.5. (1.5x)

Consequently, the distance traveled over the four days is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

by multiplying both sides by 8.125, we get

x=65/8.125

x=8mile

the initial ride be x miles long.

The second day's ride will be 12 miles long (=1.5 x =1.5*8).

The third day's ride will be 18 miles (1.5 x 1.5).

The fourth day's ride will be 27 miles, or 1.5*1.5(1.5x).

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Answer: True

Step-by-step explanation: Impulse is a vector quantity Like momentum, impulse is not fully described unless a direction is associated with it.

Answer: The formula for the mathematical function that takes as input an RGB color vector ⟨r,g,b⟩ and yields as output the RGB color vector that is the unique shade of gray whose total amount of light (r+g+b) is equal to that of the input is:

(r+g+b)/3, (r+g+b)/3, (r+g+b)/3

Step-by-step explanation: RGB color space is a way to represent colors digitally, where each color is represented by a combination of red, green, and blue values ranging from 0 to 255. To obtain a unique shade of gray whose total amount of light (r+g+b) is equal to that of the input color, we have to set all three color channels to the average value of the red, green and blue values.

To calculate this average value we use the formula: (r+g+b)/3

So the output of the function is ⟨(r+g+b)/3, (r+g+b)/3, (r+g+b)/3⟩ which is the unique shade of gray whose total amount of light is equal to that of the input color.

Note: This is one way to convert color to gray, other methods exist like using luminosity or other weights to RGB channels.

The simplified ratio of miles to gallons is 14:1. The solution has been obtained by using the concept of ratios.

What are ratios?

A ratio is a comparison or condensed version of two identical values. The reciprocity of this relationship tells us how many times one quantity is equal to the other. To put it simply, a ratio is a number that can be used to represent one thing as a percentage of another.

We are given the distance to be 189 miles and the volume of gas 13[tex]\frac{1}{2}[/tex] gallons.

So, in order to find the ratio of miles to gallons, we need to divide 189 miles onto 13[tex]\frac{1}{2}[/tex] gallons of gas.

We get

189/13.5 = 14

Hence, the ratio of miles to gallons is 14:1.

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